What is the logical form of probability assignment in quantum mechanics?
Philosophy of Science 58 (1):36-60 (1991)
Abstract
The nature of quantum mechanical probability has often seemed mysterious. To shed some light on this topic, the present paper analyzes the logical form of probability assignment in quantum mechanics. To begin the paper, I set out and criticize several attempts to analyze the form. I go on to propose a new form which utilizes a novel, probabilistic conditional and argue that this proposal is, overall, the best rendering of the quantum mechanical probability assignments. Finally, quantum mechanics aside, the discussion here has consequences for counterfactual logic, conditional probability, and epistemic probabilityAuthor's Profile
DOI
10.1086/289598
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Citations of this work
Particle labels and the theory of indistinguishable particles in quantum mechanics.Michael Redhead & Paul Teller - 1992 - British Journal for the Philosophy of Science 43 (2):201-218.
Legitimizing chance: The best-system approach to probabilistic laws in physical theory.John F. Halpin - 1994 - Australasian Journal of Philosophy 72 (3):317 – 338.
Axiomatic Quantum Mechanics and Completeness.Carsten Held - 2008 - Foundations of Physics 38 (8):707-732.
General causal propensities, classical and quantum probabilities.David Sapire - 1992 - Philosophical Papers 21 (3):243-258.
References found in this work
The Charybdis of Realism: Epistemological Implications of Bell’s Inequality.Bas C. van Fraassen - 1982 - Synthese 52 (1):25-38.
Pragmatics and Empiricism.Brian Skyrms - 1986 - British Journal for the Philosophy of Science 37 (4):514-516.
The charybdis of realism: Epistemological implications of bell's inequality.Bas C. Fraassen - 1982 - Synthese 52 (1):25 - 38.